# ๐Energy Correlation Assurance Functions

Solareums innovative technology guarantees precision in energy correlation, enhancing our blockchains reliability and performance. SolareumChain is very well equipped for a future of seamless renewable-energy blockchain management, driven by our very advanced assurance functions.

Let there be an energy correlation assurance function

which checks at a time

that the energy generation claimed by a validator corresponds to electron flow which was not recycled through an anti-islanding feature of the ongoing flow corresponding to generation. That is, if there were to be a spoofed claim of electricity generation which was in surplus of the energy actually generated, the energy correlation assurance function would then sort the alleged energy validator as rejected if

whereas it would be accepted if

thus acting as a characteristic function at time

which is isomorphic to the energy correlation assurance function A, that is,

where โผ= is an isomorphism in the category of binary output functions, thus allowing for the equivalence condition

All characteristic function applications indexed across all times t โ T and validators E(ti) forms a matrix.

Therefore, simplified matrix notation

allowing for the verified Energy generators approved through not being zeroed out by the characteristic function and for spoofed Energy generators to be zero. Non-zero characteristic function outputs

corresponding to a verified proof of electron flow which is not double counted. Similarly to the double spend problem solved by BTC, the double counted electron problem is solved as a main architectural basis of SolareumChain Proof of Generation.

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